164462400 has 336 divisors, whose sum is σ = 619841280. Its totient is φ = 42923520.

The previous prime is 164462371. The next prime is 164462413. The reversal of 164462400 is 4264461.

164462400 is a `hidden beast` number, since 164 + 462 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3499177 + ... + 3499223.

Almost surely, 2^164462400 is an apocalyptic number.

164462400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309920640).

164462400 is an abundant number, since it is smaller than the sum of its proper divisors (455378880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164462400 is an frugal number, since it uses more digits than its factorization.

164462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 164462400 is about 12824.2894540010. The cubic root of 164462400 is about 547.8843238887.

The spelling of 164462400 in words is "one hundred sixty-four million, four hundred sixty-two thousand, four hundred".